Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices

Kenneth S. Berenhaut; Dipankar Bandyopadhyay

doi:10.1016/j.laa.2005.01.021

Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices

Kenneth S. Berenhaut
, Dipankar Bandyopadhyay

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.

Original language	English (US)
Pages (from-to)	75-85
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	403
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2005.01.021
State	Published - Jul 1 2005
Externally published	Yes

Keywords

Cholesky decomposition
Monotone convex sequences
Toeplitz matrices

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10.1016/j.laa.2005.01.021

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title = "Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices",

abstract = "This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.",

keywords = "Cholesky decomposition, Monotone convex sequences, Toeplitz matrices",

author = "Berenhaut, \{Kenneth S.\} and Dipankar Bandyopadhyay",

year = "2005",

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doi = "10.1016/j.laa.2005.01.021",

language = "English (US)",

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journal = "Linear Algebra and Its Applications",

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T1 - Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices

AU - Berenhaut, Kenneth S.

AU - Bandyopadhyay, Dipankar

PY - 2005/7/1

Y1 - 2005/7/1

N2 - This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.

AB - This paper studies off-diagonal decay in symmetric Toeplitz matrices. It is shown that if the generating sequence of the matrix is monotone, positive and convex then the monotonicity and positivity are maintained through triangular decomposition. The work is motivated by recent results on explicit bounds for inverses of triangular matrices.

KW - Cholesky decomposition

KW - Monotone convex sequences

KW - Toeplitz matrices

UR - https://www.scopus.com/pages/publications/18844407077

UR - https://www.scopus.com/pages/publications/18844407077#tab=citedBy

U2 - 10.1016/j.laa.2005.01.021

DO - 10.1016/j.laa.2005.01.021

M3 - Article

AN - SCOPUS:18844407077

SN - 0024-3795

VL - 403

SP - 75

EP - 85

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices

Abstract

Keywords

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